Misty: Difference between revisions
m - parent category |
Rework on interval chain |
||
| Line 3: | Line 3: | ||
In the 7-limit, the canonical extension tempers out [[3136/3125]] and [[5120/5103]]. Possible tunings include [[87edo]], [[99edo]] and [[111edo]]. | In the 7-limit, the canonical extension tempers out [[3136/3125]] and [[5120/5103]]. Possible tunings include [[87edo]], [[99edo]] and [[111edo]]. | ||
See [[Misty family]] for | See [[Misty family]] for technical data. | ||
== Interval chain == | == Interval chain == | ||
{| class="wikitable center-1 right-2" | In the following table, odd harmonics 1–21 are in '''bold'''. | ||
{| class="wikitable center-1 right-2 right-4 right-6" | |||
|- | |- | ||
! rowspan="2" | # | ! rowspan="2" | # | ||
| Line 14: | Line 16: | ||
|- | |- | ||
! Cents* | ! Cents* | ||
! | ! Approx. ratios | ||
! Cents* | ! Cents* | ||
! | ! Approx. ratios | ||
! Cents* | ! Cents* | ||
! | ! Approx. ratios | ||
|- | |- | ||
| 0 | | 0 | ||
| Line 24: | Line 26: | ||
| '''1/1''' | | '''1/1''' | ||
| 400.0 | | 400.0 | ||
| | | 24/19, 34/27 | ||
| 800.0 | | 800.0 | ||
| | | 19/12, 27/17 | ||
|- | |- | ||
| 1 | | 1 | ||
| | | 703.1 | ||
| | | '''3/2''' | ||
| | | 1103.1 | ||
| ''' | | 17/9, 36/19 | ||
| 303.1 | |||
| '''19/16''', 25/21 | |||
|- | |- | ||
| 2 | | 2 | ||
| | | 206.1 | ||
| | | '''9/8''' | ||
| | | 606.1 | ||
| | | 17/12 | ||
| | | 1006.1 | ||
| | | 25/14, 34/19 | ||
|- | |- | ||
| 3 | | 3 | ||
| | | 909.2 | ||
| | | 27/16 | ||
| | | 109.2 | ||
| | | '''16/15''', '''17/16''' | ||
| | | 509.2 | ||
| | | 51/38, 75/56 | ||
|- | |- | ||
| 4 | | 4 | ||
| | | 412.2 | ||
| '''5 | | 19/15 | ||
| | | 812.2 | ||
| 63/ | | '''8/5''' | ||
| | | 12.2 | ||
| | | 126/125, 225/224, … | ||
|- | |||
| 5 | |||
| 1115.3 | |||
| 19/10, 40/21 | |||
| 315.3 | |||
| 6/5 | |||
| 715.3 | |||
| 68/45 | |||
|- | |||
| 6 | |||
| 618.3 | |||
| 10/7 | |||
| 1018.3 | |||
| 9/5 | |||
| 218.3 | |||
| 17/15 | |||
|- | |||
| 7 | |||
| 121.4 | |||
| 15/14 | |||
| 521.4 | |||
| 27/20 | |||
| 921.4 | |||
| 17/10 | |||
|- | |||
| 8 | |||
| 824.4 | |||
| 45/28 | |||
| 24.4 | |||
| 64/63, 81/80 | |||
| 424.4 | |||
| 32/25 | |||
|- | |||
| 9 | |||
| 327.5 | |||
| 76/63, 135/112 | |||
| 727.5 | |||
| '''32/21''' | |||
| 1127.5 | |||
| 48/25 | |||
|- | |||
| 10 | |||
| 1030.5 | |||
| 38/21 | |||
| 230.5 | |||
| '''8/7''' | |||
| 630.5 | |||
| 36/25 | |||
|- | |||
| 11 | |||
| 533.6 | |||
| 19/14 | |||
| 933.6 | |||
| 12/7 | |||
| 133.6 | |||
| 27/25 | |||
|- | |||
| 12 | |||
| 36.7 | |||
| 50/49, 57/56 | |||
| 436.7 | |||
| 9/7 | |||
| 836.7 | |||
| 34/21 | |||
|} | |} | ||
<nowiki />* In 7-limit | <nowiki/>* In 7-limit CWE tuning, octave reduced | ||
== Tunings == | == Tunings == | ||
| Line 67: | Line 133: | ||
=== Tuning spectrum === | === Tuning spectrum === | ||
{| class="wikitable center-all left-4" | {| class="wikitable center-all left-4" | ||
|- | |- | ||